On the mechanics of C60 fullerene inside open carbon nanocones: A continuum study |
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| Institution: | 1. Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia;2. National University of Architecture and Construction of Armenia, Teryan 105, 0009 Yerevan, Armenia;1. State Key Laboratory of Luminescence and Applications, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;2. School of Physics and Information Technology, Shaanxi Normal University, Xi''an 710062, China;3. Graduate School of the Chinese Academy of Sciences, Beijing 100049, China;1. Amirkhanov Institute of Physics Russian Academy of Sciences, Dagestan Science Centre, Makhachkala, Russia;2. Prokhorov General Physics Institute Russian Academy of Sciences, Moscow, Russia;3. Dagestan States University, Makhachkala, Russia;1. Photonics–Electronics Group, Aras International Campus, University of Tabriz, Tabriz 51665-163, Iran;2. Photonics–Electronics Group, Research Institute for Applied Physics and Astronomy, University of Tabriz, Tabriz 51666-14766, Iran;3. School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Crawley, WA 6009, Australia;1. Laboratoire des Interfaces et des Matériaux avancés (LIMA), Tunisia;2. Laboratoire de Micro-Optoélectronique et Nanostructures (LMON), Tunisia;3. Unité de Recherche sur les Hétéro-Epitaxies et Applications (URHEA), Tunisia;4. Université Monastir, Faculté des Sciences de Monastir, Département de Physique, Avenue de l’environnement, 5019 Monastir, Tunisia |
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| Abstract: | Presented herein is a comprehensive study on the mechanics of concentric and eccentric C60 fullerenes inside open carbon nanocones (CNCs) on the basis of the continuum approximation along with the 6–12 Lennard-Jones (LJ) potential function. For concentric configuration, new analytical expressions are derived to evaluate van der Waals (vdW) potential energy and interaction force between the two interacting molecules. Also, semi-analytical expressions in terms of double integrals are extracted to determine the potential energy of an offset C60 fullerene inside open CNCs. The proposed expressions are demonstrated to be dependent on whether the fullerene enters the open nanocone through the small end or the wide end. The effects of geometrical parameters such as small end radius, wide end radius and vertex angle of open nanocone on the distributions of vdW potential energy and interaction force are fully investigated. It is found that the fullerene molecule undergoes an asymmetrical motion inside CNCs. Moreover, for concentric and eccentric configurations, preferred position of system, for which potential energy reaches its minimum value, is obtained for different sizes of nanocone. |
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| Keywords: | Open carbon nanocone Continuum approximation Asymmetrical motion Preferred position |
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